89785840 has 80 divisors (see below), whose sum is σ = 223458912. Its totient is φ = 33431552.

The previous prime is 89785837. The next prime is 89785841. The reversal of 89785840 is 4858798.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×89785840² = 16122994129011200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89785841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145212 + ... + 145828.

Almost surely, 2^89785840 is an apocalyptic number.

89785840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111729456).

89785840 is an abundant number, since it is smaller than the sum of its proper divisors (133673072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89785840 is a wasteful number, since it uses less digits than its factorization.

89785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 89785840 is about 9475.5390347990. The cubic root of 89785840 is about 447.7847339527.

The spelling of 89785840 in words is "eighty-nine million, seven hundred eighty-five thousand, eight hundred forty".